100221001122 has 128 divisors (see below), whose sum is σ = 229847113728. Its totient is φ = 28858118400.

The previous prime is 100221001033. The next prime is 100221001123. The reversal of 100221001122 is 221100122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221001098 and 100221001107.

It is not an unprimeable number, because it can be changed into a prime (100221001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94458472 + ... + 94459532.

It is an arithmetic number, because the mean of its divisors is an integer number (1795680576).

Almost surely, 2^100221001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114923556864).

100221001122 is an abundant number, since it is smaller than the sum of its proper divisors (129626112606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100221001122 is a wasteful number, since it uses less digits than its factorization.

100221001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100221001122 its reverse (221100122001), we get a palindrome (321321123123).

The spelling of 100221001122 in words is "one hundred billion, two hundred twenty-one million, one thousand, one hundred twenty-two".